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168327132 = 223171038011
BaseRepresentation
bin10100000100001…
…11011111011100
3102201201220102020
422002013133130
5321042432012
624411500140
74112520441
oct1202073734
9381656366
10168327132
118701a736
1248457650
1328b47a6c
14184d99c8
15eb9ea8c
hexa0877dc

168327132 has 48 divisors (see below), whose sum is σ = 419956992. Its totient is φ = 52289280.

The previous prime is 168327077. The next prime is 168327139. The reversal of 168327132 is 231723861.

168327132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 168327093 and 168327102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168327139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17007 + ... + 25017.

It is an arithmetic number, because the mean of its divisors is an integer number (8749104).

Almost surely, 2168327132 is an apocalyptic number.

168327132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168327132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209978496).

168327132 is an abundant number, since it is smaller than the sum of its proper divisors (251629860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168327132 is a wasteful number, since it uses less digits than its factorization.

168327132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8136 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 168327132 is about 12974.0946504949. The cubic root of 168327132 is about 552.1427508352.

The spelling of 168327132 in words is "one hundred sixty-eight million, three hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1751 3502 5253 7004 8011 10506 16022 21012 24033 32044 48066 96132 136187 272374 408561 544748 817122 825133 1634244 1650266 2475399 3300532 4950798 9901596 14027261 28054522 42081783 56109044 84163566 168327132